All toroidal embeddings of polyhedral graphs in 3-space are chiral

  title={All toroidal embeddings of polyhedral graphs in 3-space are chiral},
  author={Toen Castle and Myfanwy Ella Evans and Stephen T. Hyde},
The interplay between structural chemistry, graph theory and knot theory is a rich area for chemists and mathematicians alike. The founder of topology, Johann Listing, noted the possibility of chiral knots in 1847; a year later Pasteur published his landmark paper on the optical activity of ammonium tartrate crystals. Indeed, knot theory began following early studies on molecular isomerism. More recently, the investigation of chirality and knotting in organic molecules and DNA complexes using… CONTINUE READING
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